Question

Find the measure of all four angles of a parellogram whose consecutive angles are in the ratio 1:3.​

Answer 1

Step-by-step explanation:

let angle a = angle c = 1 x

angle b=angle d = 3 x 《opposites angles are equal 》

a+b+c+d=360°

1x+3x+1x+3x=360°

8 x =360°

x=360°/8

x = 45°

so now we can find all angles

angle a=angle c= 1 (45) =45°

angle b= angle d= 3 (45)=135°

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